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Functional Analysis

Vol.II

  • Yurij M. Berezansky
  • Zinovij G. Sheftel
  • Georgij F. Us

Part of the Operator Theory Advances and Applications book series (OT, volume 86)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Yurij M. Berezansky, Zinovij G. Sheftel, Georgij F. Us
    Pages 1-40
  3. Yurij M. Berezansky, Zinovij G. Sheftel, Georgij F. Us
    Pages 41-116
  4. Yurij M. Berezansky, Zinovij G. Sheftel, Georgij F. Us
    Pages 117-184
  5. Yurij M. Berezansky, Zinovij G. Sheftel, Georgij F. Us
    Pages 185-210
  6. Yurij M. Berezansky, Zinovij G. Sheftel, Georgij F. Us
    Pages 211-279
  7. Back Matter
    Pages 281-293

About this book

Introduction

Functional Analysis is a comprehensive, 2-volume treatment of a subject lying at the core of modern analysis and mathemati- cal physics. The first volume reviews basic concepts such as the measure, the integral, Banach spaces, bounded operators and generalized functions. Volume II moves on to more ad- vanced topics including unbounded operators, spectral decomposition, expansion in generalized eigenvectors, rigged spaces, and partial differential operators. This text provides students of mathematics and physics with a clear introduction into the above concepts, with the theory well illustrated by a wealth of examples. Researchers will appreciate it as a useful reference manual.

Keywords

Fourier transform Hilbert space Identity Morphism Variable calculus equation function functional analysis integral theory mathematics spectral theory theorem

Authors and affiliations

  • Yurij M. Berezansky
    • 1
  • Zinovij G. Sheftel
    • 2
  • Georgij F. Us
    • 3
  1. 1.Institute of MathematicsUkrainian Academy of SciencesKievUkraine
  2. 2.Department of MathematicsPedagogical InstituteChernigovUkraine
  3. 3.Mechanics and Mathematics FacultyKiev UniversityKievUkraine

Bibliographic information